819141120 has 320 divisors, whose sum is σ = 3327287040. Its totient is φ = 187121664.

The previous prime is 819141119. The next prime is 819141121. The reversal of 819141120 is 21141918.

It is an interprime number because it is at equal distance from previous prime (819141119) and next prime (819141121).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (819141121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482994 + ... + 484686.

It is an arithmetic number, because the mean of its divisors is an integer number (10397772).

Almost surely, 2^819141120 is an apocalyptic number.

819141120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663643520).

819141120 is an abundant number, since it is smaller than the sum of its proper divisors (2508145920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

819141120 is a wasteful number, since it uses less digits than its factorization.

819141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 819141120 is about 28620.6415022445. The cubic root of 819141120 is about 935.6632582217.

The spelling of 819141120 in words is "eight hundred nineteen million, one hundred forty-one thousand, one hundred twenty".